Question

-2(a + 6) = -22 using distributive property

Answer 1

To solve the equation \(-2(a + 6) = -22\) using the distributive property, follow these steps:

1. **Apply the distributive property**: Multiply \(-2\) by each term inside the parentheses.

\[
-2(a + 6) = -2a - 12
\]

Now, rewrite the equation with the distributed terms:

\[
-2a - 12 = -22
\]

2. **Isolate the term with \(a\)**: Add \(12\) to both sides of the equation to get rid of \(-12\):

\[
-2a - 12 + 12 = -22 + 12
\]

This simplifies to:

\[
-2a = -10
\]

3. **Solve for \(a\)**: Divide both sides by \(-2\):

\[
a = \frac{-10}{-2} = 5
\]

So, the solution to the equation \(-2(a + 6) = -22\) is:

\[
\boxed{5}
\]